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Finding the Third Proportional to 52,501.75 and 123,411.25

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Solution

The third proportional to 52,501.75 and 123,411.25 is: 290,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.75 : 123,411.25 = 123,411.25 : x
  2. Step 2: Convert to fraction form
    52,501.75/123,411.25 = 123,411.25/x
  3. Step 3: Cross multiply
    52,501.75x = 123,411.25 × 123,411.25
  4. Step 4: Simplify right side
    52,501.75x = 15,230,336,626.56
  5. Step 5: Solve for x
    x = 15,230,336,626.56/52,501.75
  6. Step 6: Final answer
    x = 290,091.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.